248392320 has 256 divisors, whose sum is σ = 910656000. Its totient is φ = 56954880.

The previous prime is 248392307. The next prime is 248392327. The reversal of 248392320 is 23293842.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (248392327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400971 + ... + 401589.

It is an arithmetic number, because the mean of its divisors is an integer number (3557250).

Almost surely, 2^248392320 is an apocalyptic number.

248392320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

248392320 is an abundant number, since it is smaller than the sum of its proper divisors (662263680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248392320 is a wasteful number, since it uses less digits than its factorization.

248392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 248392320 is about 15760.4669981571. The cubic root of 248392320 is about 628.6072533694.

The spelling of 248392320 in words is "two hundred forty-eight million, three hundred ninety-two thousand, three hundred twenty".